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Finding the Fourth Proportional to 460.56, 635.40 and 263.95

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Solution

The fourth proportional to 460.56, 635.40 and 263.95 is: 364.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.56 : 635.40 = 263.95 : x
  2. Step 2: Convert to fraction form
    460.56/635.40 = 263.95/x
  3. Step 3: Cross multiply
    460.56x = 635.40 × 263.95
  4. Step 4: Simplify right side
    460.56x = 167,713.83
  5. Step 5: Solve for x
    x = 167,713.83/460.56
  6. Step 6: Final answer
    x = 364.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.